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Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling approach for non-linear physical systems. Some studies have shown lately that PHS frameworks are relevant for modelling and control of swarm and…

Physics and Society · Physics 2023-01-09 Antoine Tordeux , Claudia Totzeck

Patients with hypoplastic left heart syndrome (HLHS) are born with an underdeveloped left heart. They typically receive a sequence of surgeries that result in a single ventricle physiology called the Fontan circulation. While these patients…

Experiments that discuss influence of noise to H. Seidel and H. Herzel dynamics model of human cardiovascular system are presented. Noise is introduced by considering stochastic delays in response to the sympathetic system. It appears that…

Tissues and Organs · Quantitative Biology 2007-05-23 Aleksandra Dudkowska , Danuta Makowiec

We investigated the beat-to-beat fluctuation of the photoplethysmography (PPG) waveform. The motivation is that morphology variability extracted from the arterial blood pressure (ABP) has been found to correlate with baseline condition and…

Quantitative Methods · Quantitative Biology 2025-03-20 Yu-Chieh Ho , Te-Sheng Lin , She-Chih Wang , Chen-Shi Chang , Yu-Ting Lin

Arterial wall shear stress (WSS) parameters are widely used for prediction of the initiation and development of atherosclerosis and arterial pathologies. Traditional clinical evaluation of arterial condition relies on correlations of WSS…

Fluid Dynamics · Physics 2017-02-15 Idit Avrahami , Dikla Kersh , Alex Liberzon

Interpreting the vibrational properties of amorphous solids beyond Debye's theory is challenging due to the presence of inhomogeneity on the mesoscopic scale. In this work, we model this inhomogeneity by real-space fluctuating elasticity…

Soft Condensed Matter · Physics 2026-04-03 Cunyuan Jiang

For pulsar timing arrays (PTAs), the telltale signature of an isotropic stochastic background of gravitational waves is a pattern of pairwise interpulsar timing correlations approximately following the Hellings & Downs (HD) curve. Certain…

Instrumentation and Methods for Astrophysics · Physics 2024-11-01 Dustin R. Madison

In these companion papers, we study how the interrelated dynamics of sodium and potassium affect the excitability of neurons, the occurrence of seizures, and the stability of persistent states of activity. In this first paper, we construct…

Neurons and Cognition · Quantitative Biology 2009-09-29 John R. Cressman , Ghanim Ullah , Jokubas Ziburkus , Steven J. Schiff , Ernest Barreto

On the basis of the model of the current flow through a single fibre, changes in the electric charge density over the myocardium are described. With the use of relevant analytic formulae, supported with numerical calculations, the…

Medical Physics · Physics 2007-05-23 Jerzy S. Janicki

Purpose: To show some preliminary results about the possibility to exploit a cardiovascular mathematical model - made patient-specific by noninvasive data routinely measured during ordinary clinical examinations - in order to obtain…

Medical Physics · Physics 2021-01-22 Caterina Gallo , Joakim Olbers , Luca Ridolfi , Stefania Scarsoglio , Nils Witt

We analyze left atrium haemodynamics, highlighting differences among healthy individuals and patients affected by atrial fibrillation. The computational study is based on patient-specific geometries of the left atria to simulate blood flow…

Fluid Dynamics · Physics 2022-10-06 Mattia Corti , Alberto Zingaro , Luca Dede' , Alfio Maria Quarteroni

The bidomain system of degenerate reaction-diffusion equations is a well-established spatial model of electrical activity in cardiac tissue, with "reaction" linked to the cellular action potential and "diffusion" representing current flow…

Analysis of PDEs · Mathematics 2018-03-26 Mostafa Bendahmane , Kenneth H. Karlsen

In our previous paper [N. Tsutsumi, K. Nakai and Y. Saiki, Chaos 32, 091101 (2022)], we proposed a method for constructing a system of differential equations of chaotic behavior from only observable deterministic time series, which we call…

Chaotic Dynamics · Physics 2024-11-12 Natsuki Tsutsumi , Kengo Nakai , Yoshitaka Saiki

Cardiac arrhythmias such as ventricular tachycardia (VT) or ventricular fibrillation (VF) are the leading cause of death in the industrialised world. There is a growing consensus that these arrhythmias arise because of the formation of…

Pattern Formation and Solitons · Physics 2007-05-23 T. K. Shajahan , Sitabhra Sinha , Rahul Pandit

Atrial fibrillation (AF) is the most common cardiac arrhytmia, characterised by the chaotic motion of electrical wavefronts in the atria. In clinical practice, AF is classified under two primary categories: paroxysmal AF, short intermittent…

Tissues and Organs · Quantitative Biology 2020-07-01 Alberto Ciacci , Max Falkenberg , Kishan A. Manani , Tim S. Evans , Nicholas S. Peters , Kim Christensen

This paper aims to study existence condition of possible bursting oscillations generated by low frequency excitation of a nonlinear vibratory system in the presence of parametric excitation. Slow-fast dissection technique and numerical…

Dynamical Systems · Mathematics 2025-07-22 Sobhan Mohammadi , Keegan J. Moore

The application of molecular dynamics (MD) simulations to quasistatic loading is severely limited by the large separation between atomic vibration timescales and experimentally relevant deformation rates. In this work we employ the…

Materials Science · Physics 2026-05-27 Sarthok Kumar Baruah , Sabyasachi Chatterjee , Amit Acharya , Gerald J. Wang

Upright stance tested with a superposition of support surface tilt and translation. Steady state response is characterized by frequency response function. Interaction between two stimuli absent in most of the cases. Larger stimuli may…

Neurons and Cognition · Quantitative Biology 2022-12-16 Vittorio Lippi , Christoph Maurer , Thomas Mergner

In this work, we propose a novel approach which combines ultrasound with Eulerian and Lagrangian descriptors, to analyse blood flow dynamics and fluid transport in stenotic aortic models with morphology, mechanical and optical properties…

Fluid Dynamics · Physics 2021-01-05 Javier Brum , Miguel Bernal , Nicasio Barrere , Carlos Negreira , Cecilia Cabeza

Cardiac abnormalities affecting heart rate and rhythm are commonly observed in both healthy and acutely unwell people. Although many of these are benign, they can sometimes indicate a serious health risk. ECG monitors are typically used to…

Signal Processing · Electrical Eng. & Systems 2018-07-12 Stewart Whiting , Samuel Moreland , Jason Costello , Glen Colopy , Christopher McCann
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